λ
Harmonic Matrix

5,801,033

7 × 857 × 967
Deficient Odd Composite

5,801,033 has digital root 2. The neighboring primes are 5801027 and 5801041; its proper-divisor sum differs from the starting integer by -4,957,714.

Prime Factor Structure

Factorization String 7 × 857 × 967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,644,352
Proper Divisor Sum 843,319
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5801027 ← → #5801041

Radix Representation

Decimal 5801033
Binary 10110001000010001001001 (23 bits)
Octal 0o26102111
Hexadecimal 0x588449

Divisor Catalog (8)

1 7 857 967 5,999 6,769 828,719 5,801,033

Collatz Trajectory (121 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,801,033 17,403,100 8,701,550 4,350,775 13,052,326 6,526,163 19,578,490 9,789,245 29,367,736 14,683,868 7,341,934 3,670,967 11,012,902 5,506,451 16,519,354 8,259,677 24,779,032 12,389,516 6,194,758 3,097,379 9,292,138 4,646,069 13,938,208 6,969,104 3,484,552 1,742,276 871,138 435,569 1,306,708 653,354 326,677 980,032 490,016 245,008 122,504 61,252 30,626 15,313 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136

More profiles

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